Home / 1,026.95-1,417.26-584.89

Finding the Fourth Proportional to 1,026.95, 1,417.26 and 584.89

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Solution

The fourth proportional to 1,026.95, 1,417.26 and 584.89 is: 807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.95 : 1,417.26 = 584.89 : x
  2. Step 2: Convert to fraction form
    1,026.95/1,417.26 = 584.89/x
  3. Step 3: Cross multiply
    1,026.95x = 1,417.26 × 584.89
  4. Step 4: Simplify right side
    1,026.95x = 828,941.20
  5. Step 5: Solve for x
    x = 828,941.20/1,026.95
  6. Step 6: Final answer
    x = 807.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.